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Finding the Fourth Proportional to 31,097.25, 46,645.74 and 7,723.71

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Solution

The fourth proportional to 31,097.25, 46,645.74 and 7,723.71 is: 11,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.25 : 46,645.74 = 7,723.71 : x
  2. Step 2: Convert to fraction form
    31,097.25/46,645.74 = 7,723.71/x
  3. Step 3: Cross multiply
    31,097.25x = 46,645.74 × 7,723.71
  4. Step 4: Simplify right side
    31,097.25x = 360,278,168.50
  5. Step 5: Solve for x
    x = 360,278,168.50/31,097.25
  6. Step 6: Final answer
    x = 11,585.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.